Questions

Kuta Software Infinite Algebra 1 Graphing Lines Sketch the graph of each line 1 7x y 5 65443 2 Ayy Y

Find the volume of a right circular cylinder with a radius of 2 m3 and a height of 22 m Note Take the value of as 3 14 Round your answer to the nearest thousandth if necessary 2 m 22 m

In a marketing survey a random sample of 724 shoppers revealed that 624 remained loyal to their favorite supermarket during the past year i e did not switch stores LAUSE SALT a Let p represent the proportion of all shoppers who remain loyal to their favorite supermarket Find a point estimate for p Round your answer to four decimal places b Find a 95 confidence interval for p Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to three decimal places The interval should have only two values Keport p along with the margin or error What is the margin of error based on a 95 confidence interval Round your answer to three decimal places

Thirty four small communities in Connecticut population near 10 000 each gave an average of x 138 4 reported cases of larceny per year Assume that o is known to be 43 7 cases per year a Find the margin of error for a 90 confidence interval for the population mean annual number of reported larceny cases in such communities Round your answer to one decimal place Find a 90 confidence interval for the population mean annual number of reported larceny cases in such communities Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to one decimal place larceny cases b Find the margin of error for a 95 confidence interval for the population mean annual number of reported larceny cases in such communities Round your answer to one decimal place Find a 95 confidence interval for the population mean annual number of reported larceny cases in such communities Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to one decimal place larceny cases c Find the margin of error for a 99 confidence interval for the population mean annual number of reported larceny cases in such communities Round your answer to one decimal place Find a 99 confidence interval for the population mean annual number of reported larceny cases in such communities Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to one decimal place

me runs per gave the following data for home run percentages percentage is X a S Home run percentages of a sample of 43 professional baseball players 1 6 2 3 1 2 6 4 2 3 0 0 1 8 LUSE SALT 1 9 2 4 0 0 1 8 3 1 3 7 3 2 1 6 4 1 0 0 1 2 hes at bat A andom sample of 43 proressional baseball players 1 7 1 3 2 1 2 7 1 4 4 0 2 1 3 3 1 3 1 5 2 7 2 7 2 5 6 4 1 8 2 7 a Use a calculator with mean and standard deviation keys to find x and s Round your answers to four decimal places puto 00 confidence int 2 0 1 9 1 3 2 6 N al for the pon Istion b Compute a 90 confidence interval for the population mean of home run percentages for all professional baseball players Hint If you use the Student s t distribution table be sure to use the closest d f that is smaller Enter your answer in the form lower limit to upper limit Include the word to Round your answers to two decimal places 0 0 4 1 2 9 1 8 2 2 porcentages for all professional all players

ric Summary 3 points 1 m2CAB 1 m2DAB 1 conclusion reasoning A h 5 14 0 B 0 Cos123 53 13 A 4 in 3 O 10 B 3 d a Your friend gives you the right triangle above and to the left and says Bisecting an angle is really easy Take triangle ABC If I wanted to bisect ZCAB all I need to do is find the midpoint of BC The ray that goes from A through the midpoint of BC will cut ZCAB in half because it cuts the side BC in half Your friend then sketches the triangle above and to the right so that point D is the midpoint of side BC Convince your friend that they are wrong Use trigonometry to show that ZDAB and CAD are not congruent Show all work Use complete sentences to explain your conclusion and reasoning

What is the minimal sample size needed for a 95 confidence interval to have a maximal margin of error of 0 09 in the followin scenarios Round your answers up the nearest whole number USE SALT a a preliminary estimate for p is 0 32 b there is no preliminary estimate for p

4 6x 5y 20 4321 654 3 5 41 3 2 2 S ch X

A random sample of medical files is used to estimate the proportion p of all people who have blood type B LUSE SALT a If you have no preliminary estimate for p how many medical files should you include in a random sample in order to be 850 sure that the point estimate p will be within a distance of 0 06 from p X medical files b Answer part a if you use the preliminary estimate that about 8 out of 90 people have blood type B Round your answer u to the nearest whole number

The following data represent crime rates per 1 000 population for a random sample of 46 neighborhoods in a particular city 53 7 54 4 36 8 25 7 52 9 64 9 31 6 65 3 42 0 77 8 123 7 65 8 93 0 56 6 58 8 67 7 78 9 33 6 74 4 44 7 132 4 70 4 87 9 55 6 154 5 85 1 77 9 84 4 23 7 37 8 41 4 66 0 69 3 34 8 24 5 32 2 77 4 27 8 68 9 74 1 72 0 104 4 62 0 59 2 76 1 38 9 LA USE SALT a Use a calculator with mean and sample standard deviation keys to find the sample mean x and sample standard deviations as crimes per 1 000 people Round your answers to four decimal places crimes per 1 000 people crimes per 1 000 people crimes per 1 000 people b Let us say the preceding data are representative of the population crime rates in neighborhoods in this city Compute an 80 confidence interval for u the population mean crime rate as crimes per 1 000 people for all neighborhoods in this city Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to one decimal place crimes per 1 000 people e Compute a 99 confidence interval for the population mean crime rate as crimes per 1 000 people for all neighborhoods in this city Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to one decimal place

Use definition of the derivative to find an equation of the tangent line to the 2 curve y 1 x x At point 1 3

Do you want to own your own candy store With some interest in running your own business and a decent credit rating you can probably get a bank loan on startup costs for franchises such as Candy Express The Fudge Company Karmel Corn and Rocky Mountain Chocolate Factory Startup costs in thousands of dollars for a random sample of candy stores are given below Assume that the population of x values has an approximately normal distribution 96 175 133 100 75 94 116 USE SALT X a Use a calculator with mean and sample standard deviation keys to find the sample mean startup cost x and sample standard deviations in thousands of dollars Round your answers to four decimal places thousand dollars thousand dollars 100 85 b Find a 90 confidence interval for the population average startup costu for candy store franchises in thousands of dollars Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to one decimal place thousand dollars

5y 5 6 54 3 2 7 Ay 5 Lady

1 or 1 x 1 by sketching a triangle find cos x sin x radians

How much do wild mountain lions weigh Adult wild mountain lions 18 months or older captured and released for the first time in the San Andres Mountains gave the following weights pounds X 72 108 134 130 60 64 Assume that the population of x values has an approximately normal distribution a Use a calculator with mean and sample standard deviation keys to find the sample mean weight x and sample standard deviation s in pounds Round your answers to four decimal places lb lb S USE SALT b Find a 75 confidence interval for the population average weight in pounds of all adult mountain lions in the specified region Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to one decimal place

How many times would the moon fit across the sky from horizon to horizon 180 image not scale

4 6x 5y 20 654 3 2 1 61 51 4 3 2 ON S 4 5t 2 w X

The calorie density D in calories per ounce of a food that contains c calories and weighs w ounces is given by the formula D the calorie density of the beverage The calorie density of the beverage is calories per ounce Type an integer or a decimal Twelve ounces of a particular beverage contains 174 calories Find

ind the right method and solve the following definite integrals In r b f x dx d f 2 esin r cos r dr a fx sin x dx c f r In r dr e f dx g cos x dr sin r 1 cos x da i S T f f dr 2 sin r 1 cos r h for cos x dr j fx ln x 1 dx

7 x y 3 654321 Ay 29 2 x

2 3x 5y 5

9 x y 3 6 S 4 3 2 1 5 S

3 5p Find lim 11 00 4n6 n5 2n 2n n 2n 3n 1 3 5p Find lim n 00 4n 1 5 3P Check existence of the limit lime x 0

origin of the earth earliest known solid crust origin of life earliest know fossils 2 Next arrange on it the events listed below If an event is discrete such as the earliest known fossil simply list the event and date next to the appropriate spot on the timeline or use an arrow to point to the location of the event on the timescale If the event is something spread out over a range of time express it as a line representing the duration of the event e g deposition of BIFs span of BIF deposition first indication of build up of oxygen in the oceans atmosphere i e first red beds earliest known eukaryotes Snowball Earth earliest preserved multicellular ecosystems e g Ediacara faunas Hadean Archean Proterozoic

Which event could explain the changes in the population shown in the graph OA Over several generations the proportion of light colored moths stayed constant but mutations produced new phenotypes that were not included in the study B Over several generations light colored moths became more common because the tree bark became lighter in color as pollution decreased in the habitat C Over several generations dark colored moths became more common as the trees in the habitat became coated in soot pollution OD Dark colored moths became more common because populations have random variations in phenotypes from year to year

You ask your roommate to mail a letter for you Suppose there is a 0 23 probability your roommate will forget to mail it Should your roommate mail your letter there is a 0 93 probability that Canada Post will deliver the letter If the letter is never delivered what is the probability that your roommate mailed the letter Use four decimals in your answer 0

X PROBLEM 6 For a function f 0 R f x x In 3p find all asymptotes 5p examine monotonicity and find local extreme values 2p verify if it is surjective

k x x 3x 2 x 1

k x 3x 2 x 1

g x 1 x 1

Which of the following could be the number of real roots including any repeated roots of a cubic polynomial with real coefficients Select all possible answers 6

Let A and B be two events where P A 0 51 P B 0 19 and P B A 0 92 What is the probability of A or B Use four decimals in your answer

Can the polynomial have exactly 0 real roots Use the Fundamental Theorem of Algebra and the Complex Conjugates Theorem x5 9x 17x x 20 yes no

2 The basic hypothesis that we re working with for the formation of BIFs is that during the Hadean and Archean iron Fe accumulated in the oceans until the oceans were saturated with Fe i e the water could hold no more Then when oxygen 0 was introduced the Fe reacted with the O and precipitated until there was no more Fe left in the oceans

1 Most BIFs are banded which indicates episodic precipitation of hematite Make a conjecture about why this pattern exists Hint Remember that the precipitation of hematite depended on oxygen supply What might cause the oxygen supply in the Late Archean Early Proterozoic oceans to fluctuate on a regular basis Where does the oxygen come from What climatic variables might effect this source

I Does the size of acritarchs support the interpretation of them representing eukaryotes

6 cm 10days x 365 days I year

1 point For a fish that starts life with a length of 2 cm and has a maximum length of 31 cm the von Bertalanffy growth model predicts that the growth rate is 29e cm year where a is the age of the fish What is the average length of the fish over the first five years Average length is cm

Which of the following could be the number of real roots including any repeated roots of a degree 5 polynomial with real coefficients Select all possible answers 0 1 3 6

A sinusoidal function has a frequency of a maximum value of 12 a minimum value of 6 and a y intercept of 3 67 Which function could be the function described Of x 3 sin 9 Of x 3 sin 6 x 9 O f x 9 sin 3 Of x 9 sin 6 x 3

What is the etiology of Major Depressive Disorder what is the epidemiology of Major

A cosine function has a period of 5 a maximum value of 20 and a minimum value of 0 The function is not a reflection of its parent function over the x axis Which function could be the function described Of x 10 cos x 10 Of x 10 cos 5x 10 Of x 10 cos 5x 10 O f x 10 cos x 10

4 Are the following functions derivable at the given point If so calculate the derivative f x g x h x k x m x r 2x sin r x r if r 0 r 2x if x 0 if r 0 if x 0 if x 0 if x 0 in x 0 if r 1 if x 1 in x 0 in x 0 if x 4 if x 4 in x 1 in 4

purple and sulphur bacteria 1 List one of the metabolic reactions that cyanobacteria use cyanobacteria fermenters

Sketch the following functions Go through the process of analyzing the domain localize the critical points find the intervals where the functions are increasing or decreasing and determine the concavity of each function f x x 3x 9x 5 h x x 1 m x 2 4 g x k x e 1 sin x r x 2r 5x 3 x 1

1 Identify the following metabolic reactions from the list provided FeS H S FeS2 H chemical energy 2H S CO2 light CH O H O 2S H O CO light CH O 20 CH O 20 H O CO chemical energy 6CH 0 2C3H6O3 chemical energy fermentation chemolithotrophy anoxygenic photosynthesis oxygenic photosynthesis aerobic respiration

14 4 15 9 1 Determine the LCD The LCD is 45 Determine the second step to subtract fractions when the denominators are different Choose the correct answer be OA Multiply the numerators and denominators by the LCD OB Subtract the numerators and keep the larger denominator OC Subtract the numerators and subtract the denominators Multiply by 1 using an appropriate notation to express each number in terms of the least common O D denominator

em 2 4 points Recall the pre lab candy situation consider two unopened bags of candy one Skittles the other M M s The manufacturers state the distribution of coloured candies is M M S MILK CHOCOLATE 24 blue 19 orange 17 green 13 yellow 13 red 14 brown SKITTLES colours are reportedly distributed evenly meaning each colour red orange green blue yellow and purple has a probability of Assume that both of these unopened bags have the same number of candies If they are opened and mixed and one candy is randomly selected what is the probability it is a Skittle Hint only focus on the colour you need P Skittle blue If rounding use at least four digits after the decimal in your answer

Find the value of each variable answers should be in simplest radical form 1 45 y X 2 2 U V 30 3 45 6

4 X 16 60 y 5 U V 45 8 2 6 a 3 b 60